Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 546, 342, 463, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 546, 342, 463, 334 is 1
GCD(546, 342, 463, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 546, 342, 463, 334 is 1
GCD(546, 342, 463, 334) = 1
Given Input numbers are 546, 342, 463, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 546, 342, 463, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 342, 463, 334 is 1.
Therefore, GCD of numbers 546, 342, 463, 334 is 1
Given Input Data is 546, 342, 463, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 463 is 463
Prime Factorization of 334 is 2 x 167
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(546, 342) = 31122
GCD(546, 342) = ( 546 x 342 ) / 31122
GCD(546, 342) = 186732 / 31122
GCD(546, 342) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 463) = 2778
GCD(6, 463) = ( 6 x 463 ) / 2778
GCD(6, 463) = 2778 / 2778
GCD(6, 463) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 546, 342, 463, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 546, 342, 463, 334?
GCD of 546, 342, 463, 334 is 1
2. Where do I get the detailed procedure to find GCD of 546, 342, 463, 334?
You can find a detailed procedure to find GCD of 546, 342, 463, 334 on our page.
3. How to find GCD of 546, 342, 463, 334 on a calculator?
You can find the GCD of 546, 342, 463, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.